A fruit seller had persimmons and oranges. The ratio of persimmons to oranges was 2 : 7. After
14 of the persimmons and 25 oranges were sold, there were 3 times as many persimmons as oranges left. How many persimmons and oranges were there at first?
| |
Persimmons |
Oranges |
Total |
| Before |
2 u |
7 u |
9 u |
| Change |
- 0.5 u |
- 25 |
|
| After |
1.5 u |
4.5 u |
|
Number of persimmons sold
=
14 x 2 u
= 0.5 u
Number of persimmons left
= 2 u - 0.5 u
= 1.5 u
Number of oranges left
= 3 x 1.5 u
= 4.5 u
Number of oranges sold
= 7 u - 4.5 u
= 2.5 u
2.5 u = 25
1 u = 25 ÷ 2.5 = 10
Number of persimmons and oranges at first
= 2 u + 7 u
= 9 u
= 9 x 10
= 90
Answer(s): 90
